106734384 has 120 divisors (see below), whose sum is σ = 314823600. Its totient is φ = 33707520.

The previous prime is 106734379. The next prime is 106734389. The reversal of 106734384 is 483437601.

It is an interprime number because it is at equal distance from previous prime (106734379) and next prime (106734389).

It is a super-2 number, since 2×106734384² = 22784457455718912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106734389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254527 + ... + 254945.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 2^106734384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106734384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157411800).

106734384 is an abundant number, since it is smaller than the sum of its proper divisors (208089216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106734384 is a wasteful number, since it uses less digits than its factorization.

106734384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 106734384 is about 10331.2334210393. The cubic root of 106734384 is about 474.3527790890.

The spelling of 106734384 in words is "one hundred six million, seven hundred thirty-four thousand, three hundred eighty-four".